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130057431 = 372931832
BaseRepresentation
bin1111100000010…
…00010011010111
3100001201121020220
413300020103113
5231243314211
620523325423
73136320120
oct760102327
9301647226
10130057431
1167461089
1237680873
1320c3897a
14133b7047
15b640806
hex7c084d7

130057431 has 48 divisors (see below), whose sum is σ = 214210560. Its totient is φ = 68604480.

The previous prime is 130057427. The next prime is 130057441. The reversal of 130057431 is 134750031.

It is not a de Polignac number, because 130057431 - 22 = 130057427 is a prime.

It is a super-2 number, since 2×1300574312 = 33829870716639522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130057441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1566916 + ... + 1566998.

It is an arithmetic number, because the mean of its divisors is an integer number (4462720).

Almost surely, 2130057431 is an apocalyptic number.

130057431 is a deficient number, since it is larger than the sum of its proper divisors (84153129).

130057431 is an equidigital number, since it uses as much as digits as its factorization.

130057431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 130057431 is about 11404.2724888526. The cubic root of 130057431 is about 506.6542893348.

The spelling of 130057431 in words is "one hundred thirty million, fifty-seven thousand, four hundred thirty-one".

Divisors: 1 3 7 21 29 31 83 87 93 203 217 249 581 609 651 899 1743 2407 2573 2697 6293 6889 7221 7719 16849 18011 18879 20667 48223 50547 54033 74617 144669 199781 213559 223851 522319 599343 640677 1398467 1494913 1566957 4195401 4484739 6193211 18579633 43352477 130057431